Quasilinear elliptic problems with critical exponents and Hardy terms

doi:10.1016/j.na.2005.01.030

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	Quasilinear elliptic problems with critical exponents and Hardy terms
	Han, P
	2005-05-31
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	61 期号:5 页码:735-758
摘要	Let Omega there exists 0 be an open bounded domain, Omega subset of R-N (N > p(2)). We are concerned with the multiplicity of positive solutions of -Delta(p)u - mu vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(p) = lambda vertical bar u vertical bar(p-2)u + Q(x)vertical bar u vertical bar(p-2)u, u is an element of W-0(1,p) (Omega) where -Delta(p)u = -div(vertical bar del u vertical bar(p-2)del u), 1 < p < N, p = Np/N - p, 0 < mu < (N - p/p)(p), lambda > 0 and Q(x) is a nonnegative function on Q. By investigating the effect of the coefficient of the critical nonlinearity, we, by means of variational method, prove the existence of multiple positive solutions. (c) 2005 Elsevier Ltd. All rights reserved.
关键词	quasilinear elliptic equation energy functional Palais-Smale condition critical Sobolev exponent
DOI	10.1016/j.na.2005.01.030
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000228442200005
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1060
专题	应用数学研究所
通讯作者	Han, P
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Han, P. Quasilinear elliptic problems with critical exponents and Hardy terms[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2005,61(5):735-758.
APA	Han, P.(2005).Quasilinear elliptic problems with critical exponents and Hardy terms.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,61(5),735-758.
MLA	Han, P."Quasilinear elliptic problems with critical exponents and Hardy terms".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 61.5(2005):735-758.